Least Common Multiple of 7939/824, 4244/1909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7939/824, 4244/1909 quickly i.e. 33693116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7939/824, 4244/1909 is 33693116.

LCM(7939/824, 4244/1909) = 33693116

LCM of 7939/824, 4244/1909

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7939/824,4244/1909

Given numbers are 7939/824,4244/1909

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7939,4244

Least Common Multiple of Numerators i.e. LCM of 7939,4244 is 33693116.

GCF of Denominators means GCF of 824,1909 as per the given fractions.

GCF of 824,1909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7939,4244

LCM of Fractions 7939/824,4244/1909 is 33693116

Given numbers has no common factors except 1. So, there LCM is their product i.e 33693116

Least Common Multiple of 7939,4244 with GCF Formula

Least Common Multiple of 7939,4244 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7939,4244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7939,4244) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7939,4244) x common factors =1 x 1 = 1

LCM(7939,4244) = ( 7939 × 4244 ) / 1

LCM(7939,4244) = 33693116 / 1

LCM(7939,4244) = 33693116


Lets's calculate GCF of 824,1909

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33693116/1

Therefore the LCM of Fractions 7939/824,4244/1909 is 33693116

Greatest Common Factor of 824,1909 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,1909 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 1909

List of positive integer factors of 1909 that divides 1909 without a remainder.

1,23,83,1909

Greatest Common Factor

We found the factors 824,1909 . The biggest common factor number is the GCF number.
So the greatest common factor 824,1909 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7939/824, 4244/1909

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7939/824, 4244/1909?

Answer: LCM of Numerators as per given numbers 7939/824, 4244/1909 is

LCM of Numerators i.e. for 7939,4244 is 33693116

GCF of denominators i.e. for 824,1909 is 1.

Thus, LCM of Fractions is 33693116.Finally, LCM of Fractions for 7939/824, 4244/1909 is 33693116.